The incident occurred at approximately 6:30pm on Tuesday, 7 July, on St Mary's Road, where a man who was cycling was allegedly assaulted by a man walking in the area.
As part of their investigation, Gardaí are appealing to the public for information and have released a description of a person they wish to identify. The individual is described as a white male with grey hair, wearing grey Adidas shorts, a blue T-shirt and black runners, and carrying a large backpack bearing the University of Galway logo.
Investigating Gardaí are urging anyone who was in the St Mary's Road area around the time of the incident, or anyone who may have dashcam or other video footage, to come forward.
Anyone with information is asked to contact Galway Garda Station on (091) 538000 or the Garda Confidential Line on 1800 666 111.